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questions below: Consider a 60-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F, is 40 N,

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Consider a 60-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F, is 40 N, find angle a and the magnitude of vector F2. 64 T (1 2 60 The measure of angle a is Round to two decimal places as needed.) The magnitude of vector F2 is | N. (Round to two decimal places as needed.)Find the following for the vectors u = - 3i - 2j + 17 k and v = 3i + 2j - 17k. a. v . u, v, and lul b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector projyu v . u= (Simplify your answer.) IVI =0 (Type an exact answer, using radicals as needed.) (Type an exact answer, using radicals as needed.) The cosine of the angle between v and u is (Type an exact answer, using radicals as needed.) The scalar component of u in the direction of v is (Type an exact answer, using radicals as needed.) projvu = ()i + (DD) ) + (0)k (Type exact answers, using radicals as needed.)The vector v = ai + bi is parallel to the line bx - ay = c. Use this fact to nd an equation for the line through P parallel to v. Then draw a sketch of the line, including v as a vector Starling at the origin. P(4,2), v = - 4i - 2j The equation of the line is . (Type an equation.) Choose the correct graph of the line and vector below. OA

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